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Finding the Fourth Proportional to 157,904.72, 217,909.08 and 86,284.74

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Solution

The fourth proportional to 157,904.72, 217,909.08 and 86,284.74 is: 119,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,904.72 : 217,909.08 = 86,284.74 : x
  2. Step 2: Convert to fraction form
    157,904.72/217,909.08 = 86,284.74/x
  3. Step 3: Cross multiply
    157,904.72x = 217,909.08 × 86,284.74
  4. Step 4: Simplify right side
    157,904.72x = 18,802,228,311.44
  5. Step 5: Solve for x
    x = 18,802,228,311.44/157,904.72
  6. Step 6: Final answer
    x = 119,073.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.